Versatile Solver of Nonconformal Volume Integral Equation Based on SWG Basis Function
In this paper, a versatile solver of a nonconformal volume integral equation based on the Schaubert-Wilton-Glisson (SWG) basis function is presented. Instead of using a piecewise constant function, the robust conventional SWG basis function is chosen and used directly for discontinuous boundaries. A...
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| Format: | Article |
| Language: | English |
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Wiley
2018-01-01
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| Series: | International Journal of Antennas and Propagation |
| Online Access: | http://dx.doi.org/10.1155/2018/5062021 |
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| author | Chunbei Luo Mingjie Pang Hai Lin |
| author_facet | Chunbei Luo Mingjie Pang Hai Lin |
| author_sort | Chunbei Luo |
| collection | DOAJ |
| description | In this paper, a versatile solver of a nonconformal volume integral equation based on the Schaubert-Wilton-Glisson (SWG) basis function is presented. Instead of using a piecewise constant function, the robust conventional SWG basis function is chosen and used directly for discontinuous boundaries. A new map method technique is proposed for constructing SWG pairs, which reduces the complexity from ON2 to ONlogN compared with a brute-force method. The integral equation is solved by the method of moments (MoM) and further accelerated by the multilevel fast multipole algorithm (MLFMA). What’s more, the hybrid scheme of MLFMA and adaptive cross approximation (ACA) is developed to resolve the low-frequency (LF) breakdown when dealing with over-dense mesh objects. Numerical results show that when in analysis of radiation or scattering problems from inhomogeneous dielectric objects or in LF conditions, the proposed solver shows high efficiency without loss of accuracy, which demonstrates the versatile performance of the proposed method. |
| format | Article |
| id | doaj-art-e84e231e41db47fa972a1883494e47f5 |
| institution | DOAJ |
| issn | 1687-5869 1687-5877 |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Antennas and Propagation |
| spelling | doaj-art-e84e231e41db47fa972a1883494e47f52025-08-20T03:21:01ZengWileyInternational Journal of Antennas and Propagation1687-58691687-58772018-01-01201810.1155/2018/50620215062021Versatile Solver of Nonconformal Volume Integral Equation Based on SWG Basis FunctionChunbei Luo0Mingjie Pang1Hai Lin2State Key Laboratory of CAD&CG, Zhejiang University, Hangzhou 310058, ChinaState Key Laboratory of CAD&CG, Zhejiang University, Hangzhou 310058, ChinaState Key Laboratory of CAD&CG, Zhejiang University, Hangzhou 310058, ChinaIn this paper, a versatile solver of a nonconformal volume integral equation based on the Schaubert-Wilton-Glisson (SWG) basis function is presented. Instead of using a piecewise constant function, the robust conventional SWG basis function is chosen and used directly for discontinuous boundaries. A new map method technique is proposed for constructing SWG pairs, which reduces the complexity from ON2 to ONlogN compared with a brute-force method. The integral equation is solved by the method of moments (MoM) and further accelerated by the multilevel fast multipole algorithm (MLFMA). What’s more, the hybrid scheme of MLFMA and adaptive cross approximation (ACA) is developed to resolve the low-frequency (LF) breakdown when dealing with over-dense mesh objects. Numerical results show that when in analysis of radiation or scattering problems from inhomogeneous dielectric objects or in LF conditions, the proposed solver shows high efficiency without loss of accuracy, which demonstrates the versatile performance of the proposed method.http://dx.doi.org/10.1155/2018/5062021 |
| spellingShingle | Chunbei Luo Mingjie Pang Hai Lin Versatile Solver of Nonconformal Volume Integral Equation Based on SWG Basis Function International Journal of Antennas and Propagation |
| title | Versatile Solver of Nonconformal Volume Integral Equation Based on SWG Basis Function |
| title_full | Versatile Solver of Nonconformal Volume Integral Equation Based on SWG Basis Function |
| title_fullStr | Versatile Solver of Nonconformal Volume Integral Equation Based on SWG Basis Function |
| title_full_unstemmed | Versatile Solver of Nonconformal Volume Integral Equation Based on SWG Basis Function |
| title_short | Versatile Solver of Nonconformal Volume Integral Equation Based on SWG Basis Function |
| title_sort | versatile solver of nonconformal volume integral equation based on swg basis function |
| url | http://dx.doi.org/10.1155/2018/5062021 |
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